2
ALMultiple Choice

Volume of Spheres and Cones

Question 2 • Mathematical Models with Applications - MA4072 CR

Find the volume (to the nearest cubic foot) of a cone with base radius 4 ft. and height 8 ft.

Answer
A
43 cu. ft.
B
128 cu. ft.
C
134 cu. ft.
D
402 cu. ft.

Explanation

The volume of a cone is V = ⅓πr²h. With radius 4 ft and height 8 ft, V = ⅓π(4²)(8) = 128π/3 ≈ 134.04 cubic feet. Rounded to the nearest cubic foot, that is 134 cubic feet, choice C.

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